document.write( "Question 31905: When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative.
\n" ); document.write( "Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx + c.
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Algebra.Com's Answer #19394 by LifeDeathnCandy(5)\"\" \"About 
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Discriminant= b^2-4ac\r
\n" ); document.write( "\n" ); document.write( "Positive discriminant= x^2+9x+1=0
\n" ); document.write( "b^2-4ac = 9^2-4(1)(2)=81-8=72
\n" ); document.write( "Meaning= The equation has two solutions because the discriminant is positive,thre are two xcoordinates. \r
\n" ); document.write( "\n" ); document.write( "Negetive discriminant= 3x^2+2x+2=0
\n" ); document.write( "b^2-4ac = 2^2-4(3)(2)=4-24= -20
\n" ); document.write( "Meaning= The equation has no solutions because the discriminant is negetive, there are no xcoordinates. \r
\n" ); document.write( "\n" ); document.write( "Zero Discriminant= 4x^2+4x+1=0
\n" ); document.write( "b^2-4ac = 4^4-4(4)(1)=16-16=0
\n" ); document.write( "Meaning= The equations has 1 solution. \r
\n" ); document.write( "\n" ); document.write( "Hope this helps. Good luck. \n" ); document.write( "
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